Results 131 to 140 of about 5,037 (196)

A Hardy-Littlewood-type inequality for the p-Laplacian

, 2008
We establish an analogue for the p-Laplacian on the half-line of an integro-differential inequality of Hardy and Littlewood and estimate the optimal ...
Brown, Brian Malcolm, Aumann, S., Schmidt, Karl Michael   +2 more
core   +1 more source

Existence of extremal functions for a Hardy–Sobolev inequality

, 2010
We present the best constant and the extremal functions for an Improved Hardy–Sobolev inequality. We prove that, under a proper transformation, this inequality is equivalent to the Sobolev inequality in ...
Zographopoulos, N.B.
core   +1 more source

Competing simmetries: Hardy-Littlewood-Sobolev inequality

openLa tesi tratta una disuguaglianza integrale, detta disuguaglianza di Hardy-Littlewood-Sobolev. Si dimostra dapprima la versione debole, ovvero senza costante ottimale, nel caso generale.
SILVESTRI, VERA
core  

Generalization of a Hardy-Littlewood-Polya inequality

, 1991
This article is concerned with a generalization of the well-known Hardy-Littlewood-Polya (HLP) inequality to higher dimensions n ⩾ 2. We also show via construction of a counterexample that for certain exponents and consequently in some spaces such ...
Khajeh-Khalili, Parviz
core   +1 more source

The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]

Proc Lond Math Soc, 2023
Lee JM, Lenells J.
europepmc   +1 more source

Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group

We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality.
Sun, Chuhan, Wang, Zipeng
openaire   +2 more sources

On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
doaj   +1 more source

On Weighted Remainder Form of Hardy-Type Inequalities

, 2009
We use different approaches to study a generalization of a result of Levin and Stečkin concerning an inequality analogous to Hardy’s inequality.
Gao, Peng
core  

Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

Electronic Journal of Differential Equations, 2006
The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative drift-diffusion equation for the cell density coupled to an elliptic ...
Adrien Blanchet, Jean Dolbeault, Benoit Perthame   +2 more
doaj  

The refinement and generalization of Hardy's inequality in Sobolev space. [PDF]

J Inequal Appl, 2018
Xue X, Li F.
europepmc   +1 more source